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摘要: 采用光滑粒子流体动力学（SPH）方法模拟大变形问题具有明显的优点，但传统的SPH方法在模拟冲击波与接触界面的作用时，往往会出现压力的反常跳动。采用黎曼解描述粒子间相互作用的接触算法对传统SPH方法进行修正，计算了激波管和飞片碰撞（包含接触界面）问题中波的传播，并将计算结果与解析解作比较。结果表明，与传统的光滑粒子法相比，该改进的光滑粒子法无需引入人工粘性项和人工热流项，程序结构简洁，且能较好地处理接触界面问题，从而能有效提高计算精度。Abstract: Smooth particle hydrodynamics (SPH) is a new effective numerical method for modeling problems involving large deformation. However when the SPH method is used to simulate shock waves come across contact interface, tensile instability occurs at the contact interface. In this paper we use contact algorithm which describes contact interaction between SPH particles by means of Riemann solution to simulate the propagation of wave in shock tube and projectile impact problems, and compare the numerical results with the analytical solutions. From the compared results, we can conclude that the modified SPH method do well in removing instabilities and improving accuracy of calculation. And due to the introduce of Riemann solution, there is no need to use artificial viscosity and heat flux, which simplifies the program code.
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Key words:
- Riemann solution /
- contact algorithm /
- variable smoothing distance
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